Article ID Journal Published Year Pages File Type
4631964 Applied Mathematics and Computation 2011 7 Pages PDF
Abstract

We consider weighted graphs, where the edge weights are positive definite matrices. The eigenvalues of a graph are the eigenvalues of its adjacency matrix. We obtain a lower bound and an upper bound on the spectral radius of the adjacency matrix of weighted graphs and characterize graphs for which the bounds are attained.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
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